The population of a town increase exponentially at a rate of x% per year.

On Janurary 1st, 2000 the population was 65,000.

On Janurary 1st, 2020 the population was 100,000.

Find the vlaue of x (round to 3 significant figures)

Answer:Plug the numbers into the exponential growth formula:

Now work backwards to get the answer:

1) Divide 120150 by 60100 to get 1.998668885

2) Find the 11th root of ANS:

3) Minus 1 from your answer to give 0.064976629

4) Multiply your answer by 100 to give you the rate of x%, which is 6.5 to 1d. p

x=6.5 (1 d. p.)

Btw, this answer also works if you plug it back into the equati